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3 years ago

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Mathematics

1 answer:

Ad libitum [116K]3 years ago

4 0

Answer:

8.04 units

Step-by-step explanation:

By Pythagoras Theorem:

${x}^{2} = \bigg( \frac{25.2}{2} \bigg)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = ( 12.6)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = 64.67 \\ \\ x = \sqrt{64.67} \\ \\ x = 8.04176598 \\ \\ x \approx \: 8.04$

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Write an inequality that represents the following sentence: 45 more than a number is greater than 5.

Anvisha [2.4K]

An inequality that represents the following sentence: 45 more than a number is greater than 5 is

x-45>5

This is further explained below.

<h3>Write an inequality that represents the following sentence: 45 more than a number is greater than 5.?</h3>

Generally, An inequality is a relation in mathematics that makes a non-equal comparison between two numbers or other mathematical expressions. In other words, an inequality compares two numbers in a way that is not equal.

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In conclusion, An inequality that represents the following sentence: 45 more than a number is greater than 5 is

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2 years ago

Find the value of m that makes ABC~DEF when AB= 3, BC= 4, DE= 2m, EF= m+5, and ∠B≅∠E.

Yuki888 [10]

Answer:

m = 3

Step-by-step explanation:

It is given that there are two triangles $\triangle$ ABC and

$\triangle$ ABC ~

Also, the sides are:

AB= 3

BC= 4

DE= 2m

EF= m+5 and

∠B≅∠E

Please have a look at the attached figure for $\triangle$ ABC and

The triangles are similar so as per the property of similar triangles, the ratio of corresponding sides will be same.

i.e.

$\dfrac{AB}{DE} = \dfrac{BC}{EF}\\\Rightarrow \dfrac{3}{2m} = \dfrac{4}{m+5}\\\Rightarrow 3 \times (m+5) = 4 \times 2m\\\Rightarrow 3m +15= 8m \\\Rightarrow 5m=15\\\Rightarrow m = 3$